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Finding the Third Proportional to 33,741 and 73,035

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Solution

The third proportional to 33,741 and 73,035 is: 158,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741 : 73,035 = 73,035 : x
  2. Step 2: Convert to fraction form
    33,741/73,035 = 73,035/x
  3. Step 3: Cross multiply
    33,741x = 73,035 × 73,035
  4. Step 4: Simplify right side
    33,741x = 5,334,111,225
  5. Step 5: Solve for x
    x = 5,334,111,225/33,741
  6. Step 6: Final answer
    x = 158,089.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.